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23103003120 = 24352929311329
BaseRepresentation
bin10101100001000010…
…111101100111110000
32012122002101011022020
4111201002331213300
5334303332044440
614340253311440
71445341200141
oct254102754760
965562334266
1023103003120
11988605220a
124589195580
132242514862
141192461ac8
159033a93d0
hex5610bd9f0

23103003120 has 160 divisors (see below), whose sum is σ = 74348366400. Its totient is φ = 5927534592.

The previous prime is 23103003101. The next prime is 23103003139. The reversal of 23103003120 is 2130030132.

It is an interprime number because it is at equal distance from previous prime (23103003101) and next prime (23103003139).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23103003120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2033616 + ... + 2044944.

It is an arithmetic number, because the mean of its divisors is an integer number (464677290).

Almost surely, 223103003120 is an apocalyptic number.

23103003120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23103003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37174183200).

23103003120 is an abundant number, since it is smaller than the sum of its proper divisors (51245363280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23103003120 is a wasteful number, since it uses less digits than its factorization.

23103003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11667 (or 11661 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 23103003120 its reverse (2130030132), we get a palindrome (25233033252).

The spelling of 23103003120 in words is "twenty-three billion, one hundred three million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 293 348 435 464 580 586 696 870 879 1160 1172 1392 1465 1740 1758 2320 2344 2930 3480 3516 4395 4688 5860 6960 7032 8497 8790 11329 11720 14064 16994 17580 22658 23440 25491 33987 33988 35160 42485 45316 50982 56645 67974 67976 70320 84970 90632 101964 113290 127455 135948 135952 169935 169940 181264 203928 226580 254910 271896 328541 339870 339880 407856 453160 509820 543792 657082 679740 679760 906320 985623 1019640 1314164 1359480 1642705 1971246 2039280 2628328 2718960 3285410 3319397 3942492 4928115 5256656 6570820 6638794 7884984 9856230 9958191 13141640 13277588 15769968 16596985 19712460 19916382 26283280 26555176 33193970 39424920 39832764 49790955 53110352 66387940 78849840 79665528 96262513 99581910 132775880 159331056 192525026 199163820 265551760 288787539 385050052 398327640 481312565 577575078 770100104 796655280 962625130 1155150156 1443937695 1540200208 1925250260 2310300312 2887875390 3850500520 4620600624 5775750780 7701001040 11551501560 23103003120